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Due to the emergent adoption of distributed systems when building applications, demand for reliability and availability has increased. These properties can be achieved through replication techniques using middleware algorithms that must be…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-26 Rodrigo R. Barbieri , Gustavo M. D. Vieira

In distributed systems, a group of $\textit{learners}$ achieve $\textit{consensus}$ when, by observing the output of some $\textit{acceptors}$, they all arrive at the same value. Consensus is crucial for ordering transactions in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-14 Isaac Sheff , Xinwen Wang , Robbert van Renesse , Andrew C. Myers

TLA+ is a specification language based on standard set theory and temporal logic that has constructs for hierarchical proofs. We describe how to write TLA+ proofs and check them with TLAPS, the TLA+ Proof System. We use Peterson's mutual…

Software Engineering · Computer Science 2012-08-30 Denis Cousineau , Damien Doligez , Leslie Lamport , Stephan Merz , Daniel Ricketts , Hernán Vanzetto

Using an algorithm due to Safra for distributed termination detection as a running example, we present the main tools for verifying specifications written in TLA+. Examining their complementary strengths and weaknesses, we suggest a…

Logic in Computer Science · Computer Science 2022-11-15 Igor Konnov , Markus Kuppe , Stephan Merz

This experience report presents the results of an extensive performance evaluation conducted using four open-source implementations of Paxos deployed in Amazon's EC2. Paxos is a fundamental algorithm for building fault-tolerant services, at…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-29 Parisa Jalili Marandi , Samuel Benz , Fernando Pedone , Ken Birman

Paxos is a prominent theory of state machine replication. Recent data intensive Systems those implement state machine replication generally require high throughput. Earlier versions of Paxos as few of them are classical Paxos, fast Paxos…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-07 Vinit Kumar , Ajay Agarwal

Paxos and Fast Paxos are optimal consensus algorithms that are simple and elegant, while suitable for efficient implementation. In this paper, we compare the performance of both algorithms in failure-free and failure-prone runs using…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-07 Gustavo M. D. Vieira , Luiz E. Buzato

Agreement plays a central role in distributed systems working on a common task. The increasing size of modern distributed systems makes them more susceptible to single component failures. Fault-tolerant distributed agreement protocols rely…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-17 Marius Poke , Colin W. Glass

We present a formal model of a distributed consensus algorithm in the executable specification language Promela extended with a new type of guards, called counting guards, needed to implement transitions that depend on majority voting. Our…

Logic in Computer Science · Computer Science 2014-08-27 Giorgio Delzanno , Michele Tatarek , Riccardo Traverso

Fast Paxos is an algorithm for consensus that works by a succession of rounds, where each round tries to decide a value $v$ that is consistent with all past rounds. Rounds are started by a coordinator process and consistency is guaranteed…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-24 Gustavo M. D. Vieira , Luiz E. Buzato

Consensus protocols for asynchronous networks are usually complex and inefficient, leading practical systems to rely on synchronous protocols. This paper attempts to simplify asynchronous consensus by building atop a novel threshold logical…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-17 Bryan Ford

Verification of fault-tolerant distributed protocols is an immensely difficult task. Often, in these protocols, thresholds on set cardinalities are used both in the process code and in its correctness proof, e.g., a process can perform an…

Programming Languages · Computer Science 2019-05-21 Idan Berkovits , Marijana Lazic , Giuliano Losa , Oded Padon , Sharon Shoham

Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacting networks. However, despite significant research in…

Optimization and Control · Mathematics 2024-11-12 C. D. Rodríguez-Camargo , A. F. Urquijo-Rodríguez , E. A. Mojica-Nava

WPaxos is a multileader Paxos protocol that provides low-latency and high-throughput consensus across wide-area network (WAN) deployments. WPaxos uses multileaders, and partitions the object-space among these multileaders. Unlike statically…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-04 Ailidani Ailijiang , Aleksey Charapko , Murat Demirbas , Tevfik Kosar

Distributed architectures are used to improve performance and reliability of various systems. Examples include drone swarms and load-balancing servers. An important capability of a distributed architecture is the ability to reach consensus…

Programming Languages · Computer Science 2024-02-01 Mohit Tekriwal , Avi Tachna-Fram , Jean-Baptiste Jeannin , Manos Kapritsos , Dimitra Panagou

The behavior and architecture of large scale discrete state systems found in computer software and hardware can be specified and analyzed using a particular class of primitive recursive functions. This paper begins with an illustration of…

Formal Languages and Automata Theory · Computer Science 2025-11-04 Victor Yodaiken

This paper identifies a problem in both the TLA+ specification and the implementation of the Egalitarian Paxos protocol. It is related to how replicas switch from one ballot to another when computing the dependencies of a command. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-31 Pierre Sutra

Classical state-machine replication protocols, such as Paxos, rely on a distinguished leader process to order commands. Unfortunately, this approach makes the leader a single point of failure and increases the latency for clients that are…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Fedor Ryabinin , Alexey Gotsman , Pierre Sutra

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

The Paxos distributed consensus algorithm is a challenging case-study for standard, vector-based model checking techniques. Due to asynchronous communication, exhaustive analysis may generate very large state spaces already for small model…

Logic in Computer Science · Computer Science 2014-07-31 Giorgio Delzanno , Arend Rensink , Riccardo Traverso